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Simplifying -11 = -1(k + -6) + 5(5 + -4k) Reorder the terms: -11 = -1(-6 + k) + 5(5 + -4k) -11 = (-6 * -1 + k * -1) + 5(5 + -4k) -11 = (6 + -1k) + 5(5 + -4k) -11 = 6 + -1k + (5 * 5 + -4k * 5) -11 = 6 + -1k + (25 + -20k) Reorder the terms: -11 = 6 + 25 + -1k + -20k Combine like terms: 6 + 25 = 31 -11 = 31 + -1k + -20k Combine like terms: -1k + -20k = -21k -11 = 31 + -21k Solving -11 = 31 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. -11 + 21k = 31 + -21k + 21k Combine like terms: -21k + 21k = 0 -11 + 21k = 31 + 0 -11 + 21k = 31 Add '11' to each side of the equation. -11 + 11 + 21k = 31 + 11 Combine like terms: -11 + 11 = 0 0 + 21k = 31 + 11 21k = 31 + 11 Combine like terms: 31 + 11 = 42 21k = 42 Divide each side by '21'. k = 2 Simplifying k = 2
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